搜索结果: 1-15 共查到“数学 Chaos”相关记录46条 . 查询时间(0.062 秒)
The Forced Damped Pendulum:Chaos,Complication and Control
Forced Damped Pendulum Chaos Complication Control
2015/8/26
This paper will show that a “simple” differential equation modeling a garden-variety damped forced pendulum can exhibit extraordinarily complicated and unstable behavior.While instability and control ...
The Hodgkin–Huxley model was developed to characterize the action potential of a squid axon. It has
served as an archetype for compartmental models of the electrophysiology of biological membranes.
...
Nonlinear Dynamics and Chaos: Where do we go from here?
Dynamics and Chaos Colston conference
2015/8/25
In keeping with the spirit of the Colston conference on Nonlinear Dynam-
ics and Chaos, this chapter emphasizes ideas more than details, describing
my vision of how the bifurcation theory of multipl...
Chaos and Robustness in a Single Family of Genetic Oscillatory Networks
Chaos and Robustness Genetic Oscillatory Networks
2014/12/12
Genetic oscillatory networks can be mathematically modeled with delay differential equations (DDEs). Interpreting genetic networks with DDEs gives a more intuitive understanding from a biological stan...
Critical Gaussian Multiplicative Chaos: Convergence of the Derivative Martingale
Critical Gaussian Multiplicative Chaos Convergence of the Derivative Martingale Probability
2012/6/29
In this paper, we study Gaussian multiplicative chaos in the critical case. We show that the so-called derivative martingale, introduced in the context of branching Brownian motions and branching rand...
Multidimensional semicircular limits on the free Wigner chaos
Convergence in Distribution Fourth Moment Condition Free BrownianMotion Free Probability Multidimensional Limit Theorems
2011/9/21
Abstract: We show that, for sequences of vectors of multiple Wigner integrals with respect to a free Brownian motion, componentwise convergence to semicircular is equivalent to joint convergence. This...
Approximate Interval Method for Epistemic Uncertainty Propagation using Polynomial Chaos and Evidence Theory
Approximate Interval Method Epistemic Uncertainty Propagation Evidence Theory
2011/9/29
Abstract: The paper builds upon a recent approach to find the approximate bounds of a real function using Polynomial Chaos expansions. Given a function of random variables with compact support probabi...
Deterministic Dynamics and Chaos: Epistemology and Interdisciplinary Methodology
Deterministic Dynamics Chaos Epistemology Interdisciplinary Methodology
2011/7/6
We analyze, from a theoretical viewpoint, the bidirectional interdisciplinary relation between mathematics and psychology, focused on the mathematical theory of deterministic dynamical systems, and in...
A chaotic system under periodic forcing can develop a periodically
visited strange attractor. We discuss simple models in which the phenomenon,
quite easy to see in numerical simulations, can be com...
Urban chaos and replacement dynamics in nature and society
bifurcation chaos fractal dimension logistical map replacement dynamics Volterra-Lotka’s model urbanization
2011/7/7
Many growing phenomena in both nature and society can be predicted with sigmoid function. The growth curve of the level of urbanization is a typical S-shaped one, and can be described by using logisti...
Integrability and chaos: the classical uncertainty
Integrability and chaos classical uncertainty
2010/12/28
In recent years there has been a considerable increase in the publishing of textbooks and mono-
graphs covering what was formerly known as random or irregular deterministic motion, now named
by the ...
The equivalence relationship between Li-Yorke $\delta$-chaos and distributional $\delta$-chaos in a sequence
Li-Yorke chaos distributional chaos in a sequence transitive system
2011/2/28
In this paper, we discuss the relationship between Li-Yorke chaos and distributional chaos in a sequence.
Network topology and collapse of collective stable chaos
Network topology collapse of collective stable chaos
2010/12/28
Collective stable chaos consists of the persistence of disordered patterns in dynamical spatiotem-poral systems possessing a negative maximum Lyapunov exponent. We analyze the role of the topology of ...
In this paper, we define a new criterion to identify a dynamical system and apply control laws in a simpler manner. We study chaos synchronization by using linear feedback control laws for generalized...
Analytically control term has been determined to control chaos in the problem of a satellite. Computational studies reveal the suppression of chaos which is in good agreement with the analytical inves...